Answer:
C) 56 deg
Step-by-step explanation:
The 28-degree angle shown is adjacent to an angle. Let's call that other angle y. y and the 28-deg angle add up to a right angle. That makes these two angles complementary. Their measures add to 90 deg.
28 + y = 90
y = 62 deg
The two marks on the sides of the upper triangle show that they are congruent, making the upper triangle isosceles. The angles opposite the congruent sides of a triangle are congruent. The upper angle on the left side of the upper triangle also measures 62 degrees.
The sum of the measures of the angles of a triangle is 180 deg.
62 + 62 + x = 180
124 + x = 180
x = 56
Answer: C. 56 deg
